Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
Answer:
Step-by-step explanation:
x = the number
x + 1/6x + 2 1/2x + 7 = 12 1/2
3 + (1/6 + 1/2)x = 12 1/2 - 7
3 + (1/6 + 3/6)x = 5 1/2
3 2/3x = 5 1/2
x = (11/2) / (11/3)
x = 11 / 2 * 3 / 11
x = 3/2
x = 1 1/2
They are not equivalent, try adding in numerical values for x, both do not come out the same.
That is 2(1/7 + 1/2)
= 2( 2/14 + 7/14)
= 2 * 9/14
= 18/14 = 9/7 units ( or 1 2/7 units)
